1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Akimi4 [234]
3 years ago
8

A map of Brasilia has a scale of 1 inch to 5 miles. If the city is 2 7/16 inches across on the map, what is the distance across

the actual city? a.) 10 1/2 mi b.) 8 3/16 mi c.) 12 3/16 mi d.) 8 1/4 mi
Mathematics
2 answers:
Vinvika [58]3 years ago
7 0
The answer is c because that is what the website said with the exact same question , I hope you don't need to show your work but the correct answer is c
nata0808 [166]3 years ago
3 0

Answer:

12\frac{3}{16} \text{inches}

Step-by-step explanation:

Given : The city is 2 \frac{7}{16} inches across on the map

To Find:On the map, what is the distance across the actual city?

Solution:

Distance on map = 2 \frac{7}{16}=\frac{39}{16} inches

Scale: 1 inch = 5 miles

So, \frac{39}{16} inches=\frac{39}{16} \times 5

\frac{39}{16} inches=\frac{195}{16} =12\frac{3}{16}

Thus ,the distance across the actual city is 12\frac{3}{16} inches

So, option C is correct.

You might be interested in
27. The altitude BD to the base AC of isosceles ABC has a length of 12. If AC = 10,
Vsevolod [243]

The answer is: 36

Because, bisecting the base of the triangle gives of two segments of five. This forms two triangles with base of 5 and altitude (in this case height) of 12. There exists a special pythagorean triplet triangled named 5-12-13 meaning if you have a right triangle with two of these sides then the unknown side is the number left out. In this case, the altitude forms a right angle on the base which allows the sides of the big isocs. triangle to be 13 giving us 13 + 13 + 10 to be the perimeter = 36.

6 0
3 years ago
F(x) = lnx/x
My name is Ann [436]
f(x) = \frac{lnx}{x}

(a) f'(x) = \frac{d}{dx}[\frac{lnx}{x}]
Using the quotient rule:
f'(x) = \frac{\frac{1}{x} \cdot x - lnx}{x^{2}}
f'(x) = \frac{1 - lnx}{x^{2}}

For maximum, f'(x) = 0;
\frac{1 - lnx}{x} = 0
lnx = 1, x = e

(b) <em>Deduce:
</em>e^{x} \geq x^{e}, x > 0
<em>
Soln:</em> Since x = e is the greatest value, then f(e) ≥ f(x) > f(0)
\frac{ln(e)}{e} \geq \frac{lnx}{x}
\frac{1}{e} \geq \frac{lnx}{x}, since ln(e) is simply equal to 1

Now, since x > 0, then we don't have to worry about flipping the signs when multiplying by x.
\frac{x}{e} \geq lnx
x \geq elnx
x \geq ln(x^{e})

Taking the exponential to both sides will cancel with the natural logarithmic function in the right hand side to produce:
e^{x} \geq e^{ln(x^{e}})
e^{x} \geq x^{e}, as required.
3 0
3 years ago
What is the answer and formula for 7f+5=68
gladu [14]
7f=68-5
7f=63
f=63/7
f=9
4 0
3 years ago
In 2012, the population of a City was 6.89 million. The exponential growth rate was 3.13% per year
MrRa [10]

Answer:

in 2018 it will be 8.09 million

7 0
3 years ago
A school ends the year with 651 students. This is a 5% increase from the start of the school year.
Jet001 [13]
ANSWER:

n = 1.05n divided by 105 times 100

OR

n = (the number of students at the END of the school year) divided by 105 times 100

WORKING OUT:

1.05n = 651 students
1n = 651/105 times 100 = ANSWER
5 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify using only positive exponents (-4y^3/2w2)^-3 it's a fraction
    5·1 answer
  • A city lot has the shape of a right triangle whose hypotenuse is 2 ft longer than one of the other sides. the perimeter of the l
    8·1 answer
  • How do i rewrite a fraction?
    8·2 answers
  • What part of $40.00 is $15.00​
    5·1 answer
  • Why do they teach angles after fractions
    9·1 answer
  • If 5x + x² &gt; 100, then x is not 10 8 7 9
    8·1 answer
  • Can anyone help me plz
    8·2 answers
  • What is the measure of angle C
    5·1 answer
  • ) Which object's liquid volume is best measured in milliliters? Bathtub, Milk carton, big spoon or small fish tank
    6·1 answer
  • A sector of a circle of 7cm has an area of 44cm².calculate the angle of the sector,correct to the nearest degree π =22\7​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!